Compare 10/45 and 12/25
10/45 is smaller than 12/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 25 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 45 × 5 = 225,
10/45 = 10 × 5/45 × 5 = 50/225 - Likewise, for the 2nd fraction, since 25 × 9 = 225,
12/25 = 12 × 9/25 × 9 = 108/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/225 < 108/225 or 10/45 < 12/25
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